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88114096 = 2471947881
BaseRepresentation
bin1010100000010…
…00001110110000
320010210122211001
411100020032300
5140024122341
612424331344
72116646260
oct520101660
9203718731
1088114096
1145813474
1225613b54
1315341725
14b9b97a0
157b07d31
hex54083b0

88114096 has 80 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 34974720.

The previous prime is 88114069. The next prime is 88114097. The reversal of 88114096 is 69041188.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (88114097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99576 + ... + 100456.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 288114096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88114096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

88114096 is an abundant number, since it is smaller than the sum of its proper divisors (121872464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88114096 is a wasteful number, since it uses less digits than its factorization.

88114096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 88114096 is about 9386.9108869745. The cubic root of 88114096 is about 444.9881678460.

It can be divided in two parts, 881 and 14096, that multiplied together give a square (12418576 = 35242).

The spelling of 88114096 in words is "eighty-eight million, one hundred fourteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 47 56 76 94 112 133 152 188 266 304 329 376 532 658 752 881 893 1064 1316 1762 1786 2128 2632 3524 3572 5264 6167 6251 7048 7144 12334 12502 14096 14288 16739 24668 25004 33478 41407 49336 50008 66956 82814 98672 100016 117173 133912 165628 234346 267824 289849 331256 468692 579698 662512 786733 937384 1159396 1573466 1874768 2318792 3146932 4637584 5507131 6293864 11014262 12587728 22028524 44057048 88114096